Question

Newton's law
the body from 60c to 50c 5 minutes and to 40c in another 8 minutes find the to surrounding
​

Answer 1

Answer:

the answer should be 37°

Explanation:

Newton's cooling law

dt

dθ

=−k(θ−θ

0

)

putting the given values of the situation in the formula we get:-

5

(50−45)

=−k(50−T)

=>1=−k(50−T) -----(1)

Now, cooling body at takes 8 min to reach 40

0

C form 45

0

C

8

(45−40)

=−k(45−T)

8

5

=−k(45−T) ------(2)

Dividing the two equations, we get:

8(45−T)=5(50−T)

360−8T=250−5T

T=110/3=36.67

so the answer is 37°